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Finding the Fourth Proportional to 568.39, 783.92 and 381.75

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Solution

The fourth proportional to 568.39, 783.92 and 381.75 is: 526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.39 : 783.92 = 381.75 : x
  2. Step 2: Convert to fraction form
    568.39/783.92 = 381.75/x
  3. Step 3: Cross multiply
    568.39x = 783.92 × 381.75
  4. Step 4: Simplify right side
    568.39x = 299,259.55
  5. Step 5: Solve for x
    x = 299,259.55/568.39
  6. Step 6: Final answer
    x = 526.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.